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Finding the Third Proportional to 199,633.50 and 437,539.50

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Solution

The third proportional to 199,633.50 and 437,539.50 is: 958,961.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,633.50 : 437,539.50 = 437,539.50 : x
  2. Step 2: Convert to fraction form
    199,633.50/437,539.50 = 437,539.50/x
  3. Step 3: Cross multiply
    199,633.50x = 437,539.50 × 437,539.50
  4. Step 4: Simplify right side
    199,633.50x = 191,440,814,060.25
  5. Step 5: Solve for x
    x = 191,440,814,060.25/199,633.50
  6. Step 6: Final answer
    x = 958,961.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.